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Finding the Fourth Proportional to 6,419.52, 9,649.33 and 4,242.24

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Solution

The fourth proportional to 6,419.52, 9,649.33 and 4,242.24 is: 6,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.52 : 9,649.33 = 4,242.24 : x
  2. Step 2: Convert to fraction form
    6,419.52/9,649.33 = 4,242.24/x
  3. Step 3: Cross multiply
    6,419.52x = 9,649.33 × 4,242.24
  4. Step 4: Simplify right side
    6,419.52x = 40,934,763.09
  5. Step 5: Solve for x
    x = 40,934,763.09/6,419.52
  6. Step 6: Final answer
    x = 6,376.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.